Finding the Third Proportional to 78.05 and 167.27

Step by Step Solution

1. Step 1: Write the proportion equation
   78.05 : 167.27 = 167.27 : x
2. Step 2: Convert to fraction form
   78.05/167.27 = 167.27/x
3. Step 3: Cross multiply
   78.05x = 167.27 × 167.27
4. Step 4: Simplify right side
   78.05x = 27,980.40
5. Step 5: Solve for x
   x = 27,980.40/78.05
6. Step 6: Final answer
   x = 358.51